Adaptation of a mesh at numerical simulation of tsunami waves

The principles and method of adaptation of an unstructured mesh to distribution of ocean depths for long-wave models of tsunamis are described. It is shown that for adequate reproduction of tsunami waves within a long-wave theory the perturbation entered into model has to be smoothed or filtered for elimination of the short-period components subject to phase dispersion. The explicit formula for calculation of cut-off period for the filter is suggested. Estimates of the relative computing effectiveness of use of the unstructured mesh adapted to distribution of ocean depths in comparison with the regular grids are performed. It is shown that use of unstructured mesh can provide an increase in computing effectiveness up to several thousand times.